1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
svp [43]
2 years ago
15

Solve for x. 2x² +21x-61 = (x+7)² Please

Mathematics
2 answers:
Ymorist [56]2 years ago
7 0

Answer:

x = \frac{-7 +\sqrt{489} }{2}

x = \frac{-7 - \sqrt{489} }{2}

Step-by-step explanation:

2x² +21x-61 = (x+7)²

expand

2x² + 21x - 61 = x² + 14x +49

move everything to one side

x² + 7x - 12 = 0

use quadratic formula

x = \frac{-b +- \sqrt{b^{2}-4ac } }{2a}

plug in the values

x = \frac{-7 +- \sqrt{7^{2}-4(1)(-110) } }{2(1)}

solve

x = \frac{-7 +- \sqrt{49-4(1)(-110) } }{2}

x = \frac{-7 +- \sqrt{49 + 440 } }{2}

x = \frac{-7 +- \sqrt{489} }{2}

noname [10]2 years ago
5 0
After you rewrite the equation, identify the coefficients , substitute the coefficients and simplify the expression you’ll be left with 489
You might be interested in
Can someone help me solve multiple step equations? For example (7t - 2) - (-3t + 1) = -3(1 - 3t)
artcher [175]

Answer:

t = 0

Step-by-step explanation:

(7t - 2) - (-3t + 1) = -3(1 - 3t)

because you can not do anything inside the parantheses, you distribute. there aren't any numbers on the left side of the parantheses on the left side of the equation so we just imagine the number 1. on the right side of the equation, just distribute normally

[ 1(7t - 2) -1(-3t + 1) = -3(1 - 3t) ]

will be

7t - 2 + 3t - 1 = -3 + 9t

add like terms

10t - 3 = -3 + 9t

subtract 9t from both sides

t - 3 = -3

add 3 to both sides

t = 0

3 0
3 years ago
timomthy began his math homework at 5:17 pm he finished at 5:49 how many minutes did he send on his math homework
daser333 [38]

Answer:

32 minutes

Step-by-step explanation:

49 - 17 = 32

Timothy spent 32 minutes on his math homework.

3 0
2 years ago
Read 2 more answers
Please answer right away and don’t guess
ivolga24 [154]

im pretty sure the answer is 30

5 0
3 years ago
Determine if the following system of equations has no solutions 4x+3y= -8 -8x-6y= 16
cupoosta [38]

\begin{cases} 4x+3y=-8\\\\ -8x-6y=16 \end{cases}~\hspace{10em} \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill

4x+3y=-8\implies 3y=-4x-8\implies y=\cfrac{-4x-8}{3}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{4}{3}} x-\cfrac{8}{3} \\\\[-0.35em] ~\dotfill\\\\ -8x-6y=16\implies -6y=8x+16\implies y=\cfrac{8x+16}{-6} \\\\\\ y=\cfrac{8}{-6}x+\cfrac{16}{-6}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{4}{3}} x-\cfrac{8}{3}

one simple way to tell if both equations do ever meet or have a solution is by checking their slope, notice in this case the slopes are the same for both, meaning the lines are parallel lines, however, notice both equations are really the same, namely the 2nd equation is really the 1st one in disguise.

since both equations are equal, their graph will be of one line pancaked on top of the other, and the solutions is where they meet, hell, they meet everywhere since one is on top of the other, so infinitely many solutions.

3 0
2 years ago
Which choice shows the coordinates of C’ if the trapezoid is reflected across the y-axis?
suter [353]
A reflection through the axis and is given by the following transformation rule:
 (x, y) -------> (-x, y)
 We have the following point:
 C = (5, 3)
 Applying the transformation rule we have:
 (5, 3) -------> (-5, 3)
 Therefore, C' is given by:
 C '= (- 5, 3)
 Answer:
 (-5, 3)
6 0
3 years ago
Read 2 more answers
Other questions:
  • One pound of horsehair is divided into "pulls" to make horsehair belts. One "pull" weights about 0.011 ounces. How many "pulls"
    9·1 answer
  • What are the possible values of x in -11x2 + 2x = 10?
    14·1 answer
  • Which equation is NOT an identity?
    8·1 answer
  • What is the Prime factorization of 600? Please answer and explain.
    6·1 answer
  • Hannah bought 4 hamburgers and 2 orders of French fries at for $16.50. Phillip bought 5 hamburgers and 3 orders of French fries
    11·1 answer
  • If i were to yeet a rock the size of Greg Heffley at mach 8, what would be the velocity?
    12·1 answer
  • For the GJW Clean Up event, Ms. Baran spent $37.95 on 23 packets of hand wipes for
    8·1 answer
  • PLEASE HELP ASAP, MARKING BRAINLIEST!!!
    5·1 answer
  • Determine whether each function is even, odd, or neither.
    13·1 answer
  • The concentration of a drug in a patient's bloodstream t hours after injection is given by C =
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!